Atkin-Lehner |
2- 3+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
29784h |
Isogeny class |
Conductor |
29784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1564355460688896 = 210 · 3 · 178 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32512,-1201700] |
[a1,a2,a3,a4,a6] |
Generators |
[7039491342:-172215733340:10793861] |
Generators of the group modulo torsion |
j |
3711659876932612/1527690879579 |
j-invariant |
L |
6.0352194507849 |
L(r)(E,1)/r! |
Ω |
0.36864552902763 |
Real period |
R |
16.371334996802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59568i3 89352k3 |
Quadratic twists by: -4 -3 |